Question

If a number exactly divides the sum of two numbers, it must exactly divide their number separately

Answer 1

yes,for example, sum of 2 and 4 is 6.6 is divisible by 2. 4 and 2 are both divisible by 2.

Answer 2

QUESTION:

The correct question should be:

Check if the given statement is true or false.

If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.

ANSWER:

The given statement, "if a number exactly divides the sum of two numbers, it must exactly divide the numbers separately", is False.

• The given statement may be sometimes true for some of the numbers, but it is not applicable to all the numbers, so the statement is false.
• For example, consider the numbers 5 and 7. Now, 2 exactly divides the sum of 5 and 7, which is 12, but it can be seen that 2 doesn't exactly divide 5 and 7 separately.
• Thus the statement, as can be seen from the above example, is false.